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Volume 19 (2022)
Volume 19, (In Progress)
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Advances in Computer Science and Engineering
Advances in Computer Science and Engineering
Volume 3, Issue 3, Pages 243 - 259 (November 2009)
NUMERICAL SOLUTION OF AN ELLIPTIC GRID GENERATION TECHNIQUE TO SOLVE NAVIER-STOKES EQUATIONS FOR THE FLOW CONTRACTION
Saleh M. Al-Harbi (Saudi Arabia) and S. A. Salem (Saudi Arabia)
Abstract:
In this paper, we give a numerical solution to the incompressible Navier-Stokes equations for the flow inside a U-tube and inside contraction geometry by using grid generation technique [17]. The transformed equations are solved as follows: time dependent vorticity-stream functions equation is solved explicitly for (
w
)
using the explicit marching procedure, then the
y
-Poisson equation is solved by successive over relaxation iteration, and pressure Poisson equation is also solved using successive over relaxation iteration. In all cases, we take the grid points to be movable with respect to time.
Keywords and phrases:
successive over-relaxation iteration, Navier-Stokes equations, tube and nozzle flow.
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P-ISSN: 0973-6999
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